Boeing's 787 Dreamliner has been anything but a dream this week. The jet, which already experienced two serious issues earlier in the week, suffered another two problems today.

It was discovered that a 787 Dreamliner with All Nippon Airways (ANA), which had arrived at the Matsuyama airport in western Japan from Tokyo on Friday, developed a web-like crack in the cockpit window. The pilot found it about 70 minutes into the flight, but no one was injured.

In a separate incident on Friday, but also with ANA, another 787 Dreamliner had an oil leak after traveling to the Miyazaki airport in southern Japan. It is unclear how much oil had leaked.

The 787 Dreamliners are fairly new jets, only having made their first domestic flight in November of last year after several delays. Hence, it's common for issues like these to arise. However, having four problems in just one week's time could make passengers wary of the jets' safety.

On Monday, a 787 operated by Japan Airlines had experienced an electrical fire at Boston's Logan International Airport after coming in from Tokyo. According to the National Transportation Safety Board, a battery in the auxiliary power unit suffered severe fire damage.

Just one day later, a Boeing 787 operated by the same airline at the same airport suffered a fuel leak. The fuel leak was discovered at 12:25 p.m. ET right after the 787 left the gate for a trip to Tokyo. The flight was cancelled, and the plane was towed back to the gate where passengers were instructed to exit and stay in the airport. No one was injured.

As it turns out, about 40 gallons of fuel had leaked from the 787. The plane ended up being delayed four hours before leaving for Tokyo.

The787 Dreamlineris an efficient airplane made of lightweight carbon composites, which features a whole new passenger experience with dimmable windows, LED lights, reclining business class seats and even higher humidity. These lighter materials mean airlines can use less fuel. The Dreamliners have 36 first-class seats, 70 premium-economy seats and 113 economy seats. United said it ordered 50 787s.

The 787 Dreamliner was delayed for years before this official debut, mainly due to manufacturing and cost-related issues. Delays have dated back as far as 2008.